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Finding the Fourth Proportional to 12,897.45, 19,389.92 and 10,298.16

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Solution

The fourth proportional to 12,897.45, 19,389.92 and 10,298.16 is: 15,482.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.45 : 19,389.92 = 10,298.16 : x
  2. Step 2: Convert to fraction form
    12,897.45/19,389.92 = 10,298.16/x
  3. Step 3: Cross multiply
    12,897.45x = 19,389.92 × 10,298.16
  4. Step 4: Simplify right side
    12,897.45x = 199,680,498.55
  5. Step 5: Solve for x
    x = 199,680,498.55/12,897.45
  6. Step 6: Final answer
    x = 15,482.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.